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SUMMARY:Selector form of Weaver's conjecture and frame sparsification - Ma
 rcin Bownik (University of Oregon)
DTSTART:20240712T140000Z
DTEND:20240712T150000Z
UID:TALK219001@talks.cam.ac.uk
DESCRIPTION:In this talk we present an extension of a probabilistic result
  of Marcus\, Spielman\, and Srivastava\, which resolved the Kadison-Singer
  problem\, for block diagonal positive semidefinite random matrices. We us
 e this result to show several selector results\, which generalize their pa
 rtition counterparts.\nThis includes a selector form of Weaver&rsquo\;s KS
 _r conjecture for block diagonal trace class operators and a nearly tight 
 discretization of bounded continuous Parseval frames\, which extends a res
 ult of Freeman and Speegle. As an application we obtain an improvement of 
 the result of Nitzan\, Olevskii\, and Ulanovskii by showing the existence 
 of nearly tight exponential frames for unbounded sets with an explicit con
 trol on the frame redundancy.
LOCATION:Seminar Room 2\, Newton Institute
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